Optics 4 Question 11

11. An isosceles prism of angle 120 has a refractive index 1.44. Two parallel rays of monochromatic light enter the prism parallel to each other in air as shown. The rays emerging from the opposite face

(1995,2M)

(a) are parallel to each other

(b) are diverging

(c) make an angle 2[sin1(0.72)30] with each other

(d) make an angle 2sin1(0.72) with each other

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Solution:

  1. The diagramatic representation of the given problem is shown in figure.

From figure it follows that i=A=30

From Snell’s law, n1sini=n2sinr

or sinr=1.44sin301=0.72

Now, δ=ri=sin1(0.72)30

θ=2(δ)=2sin1(0.72)30



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